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Simplifying -3(6p + 3) + -2(3 + -14p) = 3(7 + 3p) Reorder the terms: -3(3 + 6p) + -2(3 + -14p) = 3(7 + 3p) (3 * -3 + 6p * -3) + -2(3 + -14p) = 3(7 + 3p) (-9 + -18p) + -2(3 + -14p) = 3(7 + 3p) -9 + -18p + (3 * -2 + -14p * -2) = 3(7 + 3p) -9 + -18p + (-6 + 28p) = 3(7 + 3p) Reorder the terms: -9 + -6 + -18p + 28p = 3(7 + 3p) Combine like terms: -9 + -6 = -15 -15 + -18p + 28p = 3(7 + 3p) Combine like terms: -18p + 28p = 10p -15 + 10p = 3(7 + 3p) -15 + 10p = (7 * 3 + 3p * 3) -15 + 10p = (21 + 9p) Solving -15 + 10p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -15 + 10p + -9p = 21 + 9p + -9p Combine like terms: 10p + -9p = 1p -15 + 1p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -15 + 1p = 21 + 0 -15 + 1p = 21 Add '15' to each side of the equation. -15 + 15 + 1p = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 21 + 15 1p = 21 + 15 Combine like terms: 21 + 15 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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